5.1-solutions - Na (gn2849) 5.1 campisi (55842) 1 This...

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Unformatted text preview: Na (gn2849) 5.1 campisi (55842) 1 This print-out should have 5 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Estimate the area under the graph of f ( x ) = 4 sin x between x = 0 and x = 3 using five approx- imating rectangles of equal widths and right endpoints. 1. area 2 . 355 correct 2. area 2 . 335 3. area 2 . 395 4. area 2 . 375 5. area 2 . 415 Explanation: An estimate for the area under the graph of f on [0 , b ] with [0 , b ] partitioned in n equal subintervals [ x i- 1 , x i ] = bracketleftBig ( i- 1) b n , ib n bracketrightBig and right endpoints x i as sample points is A braceleftBig f ( x 1 ) + f ( x 2 ) + . . . + f ( x n ) bracerightBig b n . For the given area, f ( x ) = 4 sin x, b = 3 , n = 5 , and x 1 = 1 15 , x 2 = 2 15 , x 3 = 1 5 , x 4 = 4 15 , x 5 = 1 3 . Thus A 4 braceleftBig sin parenleftBig 1 15 parenrightBig + . . . + sin parenleftBig 1 3 parenrightBigbracerightBig 15 ....
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5.1-solutions - Na (gn2849) 5.1 campisi (55842) 1 This...

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